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Hyperbolic Convolution Operators

Published online by Cambridge University Press:  20 November 2018

Takao Kakita
Takao Kakita*
Affiliation:
University of Toronto and Waseda University
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Hyperbolic differential operators with constant coefficients introduced and studied systematically by Gårding (4), were characterized by the existence of the fundamental solution with some cone condition, according to Hörmander (6). Recently Ehrenpreis, extending the notion of hyperbolicity due to Gårding, has defined hyperbolic operators for distributions with compact support in the convolution sense. Under the hypothesis that the operator is invertible as a distribution, he has established a theorem analogous to the theorem of Hörmander mentioned above (3).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 559 - 582
Copyright
Copyright © Canadian Mathematical Society 1965

References

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